Stoykov Nikolay S, Kuiken Todd A, Lowery Madeleine M, Taflove Allen
Rehabilitation Institute of Chicago, IL 60611, USA.
IEEE Trans Biomed Eng. 2003 Sep;50(9):1100-7. doi: 10.1109/TBME.2003.816083.
We present what we believe to be the first algorithms that use a simple scalar-potential formulation to model linear Debye and Lorentz dielectric dispersions at low frequencies in the context of finite-element time-domain (FETD) numerical solutions of electric potential. The new algorithms, which permit treatment of multiple-pole dielectric relaxations, are based on the auxiliary differential equation method and are unconditionally stable. We validate the algorithms by comparison with the results of a previously reported method based on the Fourier transform. The new algorithms should be useful in calculating the transient response of biological materials subject to impulsive excitation. Potential applications include FETD modeling of electromyography, functional electrical stimulation, defibrillation, and effects of lightning and impulsive electric shock.
我们展示了我们认为是首批使用简单标量势公式来模拟低频下线性德拜和洛伦兹介电色散的算法，该算法适用于有限元时域（FETD）电势数值解的情况。新算法基于辅助微分方程方法，允许处理多极介电弛豫，并且是无条件稳定的。我们通过与先前报道的基于傅里叶变换的方法的结果进行比较来验证这些算法。新算法在计算生物材料在脉冲激励下的瞬态响应方面应该会很有用。潜在应用包括肌电图的FETD建模、功能性电刺激、除颤以及闪电和脉冲电击的影响。
